How do you solve #log (x+3)=log 8-log 2#? Precalculus Solving Exponential and Logarithmic Equations Logarithmic Models 1 Answer Alan P. Feb 28, 2016 #x=1# Explanation: What you need to know: #color(white)("XXX")log(p) - log(q) = log (p/q)# Therefore: #color(white)("XXX")log(x+3)=log(8)-log(2)# #rarrcolor(white)("XXX")log(x+3) = log(4)# #rarrcolor(white)("XXX")x+3 = 4# #rarrcolor(white)("XXX")x=1# Answer link Related questions What is a logarithmic model? How do I use a logarithmic model to solve applications? What is the advantage of a logarithmic model? How does the Richter scale measure magnitude? What is the range of the Richter scale? How do you solve #9^(x-4)=81#? How do you solve #logx+log(x+15)=2#? How do you solve the equation #2 log4(x + 7)-log4(16) = 2#? How do you solve #2 log x^4 = 16#? How do you solve #2+log_3(2x+5)-log_3x=4#? See all questions in Logarithmic Models Impact of this question 1607 views around the world You can reuse this answer Creative Commons License